Answer:
x = -10
Step-by-step explanation:
Given the linear function, g(x) = -x + 3, and that g(x) = 13:
In this particular problem, it asks for you to find the input value that corresponds to an ouput value of 13.
Solution:
Substitute the output value into the function, and solve for the input (x-value):
g(x) = -x + 3
13 = -x + 3
Subtract 3 from both sides:
13 - 3 = -x + 3 - 3
10 = -x
Next, divide both sides by -1 to solve for x:
[tex]\LARGE\mathsf{\frac{10}{-1}\:=\frac{-1x}{-1} }[/tex]
x = -10
Therefore, the input value that corresponds to g(x) = 13 is x = -10.
